The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1
Also, the angular frequency = 2π * 1/5π = 0.4
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
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Y = x² + 7x - 4
y = -x - 4
x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
- 8 - 8
x = -8
y = -x - 4
y = -0 - 4
y = 0 - 4
y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)
The solutions are (0, -4) and (8, -4).
Answer:
x = 18
Step-by-step explanation:
the sum of any exterior angle is equal to the sum of any two interior angles
3x-11 + 5x+14 = 9x-15
8x + 3 = 9x - 15
3 = x - 15
x = 18
Answer: Marta worked 13 hours overtime.
Step-by-step explanation:
1): You do 25 x 36 to get the amount of money she can make before she starts to make double.
36 x 25 = 900
2): Minus $900 from $1550
$1550 - $900 = $650
3): Divide $650 by $50
$650 / $50 = 13 hours worked overtime
Answer:
y = 3/7x + 51
Step-by-step explanation:
y = 3/7x + 11 is parallel to the line so it means that both of their gradient are same so:
y = mx + c
m= gradient point = (-21 , 42)
= 3/7
now we sub the m and the point into the formula which is y= mx+c because we should find the c first then we can find the equation of the line:
42 = 3/7 (-21) + c
42 = -9 + c
42 + 9 = c
51 = c
c = 51
now you hv to rewrite again the equation become y= 3/7x + 51
So now your final answer is : y = 3/7x +51
